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Issue ESAIM: Proc.
Volume 28, 2009
CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids
Page(s) 135 - 149
DOI http://dx.doi.org/10.1051/proc/2009043
Published online 23 November 2009

ESAIM: Proc., 2009, Vol. 28, pp. 135-149
DOI: 10.1051/proc/2009043

Dry granular flows with erosion/deposition process

C.-Y. Kuo1, B. Nkonga2, M. Ricchiuto3, Y.-C. Tai4 and B. Braconnier5

1  Academia Sinica (Taiwan), cykuo06@gate.sinica.edu.tw
2  Nice Sophia-Antipolis univ. (France), nkonga@unice.fr
3  INRIA Bordeaux Sud-Ouest(France), mario.ricchiuto@inria.fr
4  Chi Nan Univ (Taiwan), yctai@ncnu.edu.tw
5  GLAIZER group innovation agency (France), benjamin.braconnier@glaizer.com


Published online: 23 November 2009

Abstract
In this work we use the erodible model proposed by Tai and Kuo [18] to investigate complex granular flows in which deposition and erosion are significant. The initial motivation comes from experiments of granular collapse which exhibit both phenomena. A numerical model with a flux balanced scheme is developed, and the eigenstructure of its quasilinear form as well as the entropy inequality are assessed. Numerical application is performed for granular column collapse is simulated by the new well-balanced scheme. For the latter, numerical results demonstrate an upward evolution of the interface between the flowing layer and stagnant base. Comparison between the numerical and the experimental data not only illustrates the advantages of this model of erosion/deposition mechanisms but also reveals the future directions for further study.


Résumé
Ce travail consiste à utiliser un modèle proposé par Tai and Kuo [18], pour étudier un écoulement granulaire sec, dans lequel l'érosion et la déposition jouent un rôle très important. Cette étude est motivée par des expériences d'effondrement d'une colonne de sable, qui montrent la coexistence des ces deux phénomènes physiques. Une approche numérique consistante et préservant certaines asymptotiques est étudiée et mise en œuvre. Les résultats numériques sont globalement cohérents aux expériences. Néanmoins, ils révèlent aussi les limites de l'actuelle modélisation du mécanisme d'érosion/déposition et suggèrent de futures investigations.



© EDP Sciences, ESAIM 2009


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